Finding the Third Proportional to 51,982,135,948 and 113,929,587,956
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Solution
The third proportional to 51,982,135,948 and 113,929,587,956 is: 249,700,224,415.72
Step by Step Solution
- Step 1: Write the proportion equation
51,982,135,948 : 113,929,587,956 = 113,929,587,956 : x - Step 2: Convert to fraction form
51,982,135,948/113,929,587,956 = 113,929,587,956/x - Step 3: Cross multiply
51,982,135,948x = 113,929,587,956 × 113,929,587,956 - Step 4: Simplify right side
51,982,135,948x = 12,979,951,011,823,941,058,560 - Step 5: Solve for x
x = 12,979,951,011,823,941,058,560/51,982,135,948 - Step 6: Final answer
x = 249,700,224,415.72
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.